Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152ce |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3552013430784 = 212 · 34 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24369,1453311] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1617:1] |
Generators of the group modulo torsion |
j |
3321287488/7371 |
j-invariant |
L |
7.6431959630167 |
L(r)(E,1)/r! |
Ω |
0.79170997936117 |
Real period |
R |
2.4135087855869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996292 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61152m4 122304w1 8736n2 |
Quadratic twists by: -4 8 -7 |